Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What is the unit rate of 3/4 cup of brown sugar for every 3 eggs?

Back

The unit rate is 4 eggs per cup.

Front

What equation represents a proportional relationship?

Back

An equation representing a proportional relationship is in the form y = kx, where k is the constant of proportionality.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are constant.

Front

If a recipe calls for 2 cups of flour for every 4 cups of sugar, what is the constant of proportionality?

Back

The constant of proportionality is 1/2, meaning for every cup of sugar, there are 1/2 cup of flour.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal or if the graph of their relationship is a straight line that passes through the origin.

Front

What is the significance of the unit rate in real-life applications?

Back

The unit rate helps compare different quantities and make informed decisions, such as determining the best price per item.

Front

What is the relationship between unit rate and constant of proportionality?

Back

The unit rate is a specific case of the constant of proportionality, representing the ratio of one unit of a quantity to another.

Front

How do you convert a proportional relationship into an equation?

Back

To convert a proportional relationship into an equation, identify the constant of proportionality and express it in the form y = kx.